1984578667200 has 1008 divisors, whose sum is σ = 8153354401920. Its totient is φ = 471845191680.

The previous prime is 1984578667199. The next prime is 1984578667213. The reversal of 1984578667200 is 27668754891.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125574499 + ... + 125590301.

It is an arithmetic number, because the mean of its divisors is an integer number (8088645240).

Almost surely, 2^{1984578667200} is an apocalyptic number.

1984578667200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984578667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076677200960).

1984578667200 is an abundant number, since it is smaller than the sum of its proper divisors (6168775734720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1984578667200 is a wasteful number, since it uses less digits than its factorization.

1984578667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15876 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1984578667200 in words is "one trillion, nine hundred eighty-four billion, five hundred seventy-eight million, six hundred sixty-seven thousand, two hundred".